Lyapunov-type inequality for an anti-periodic fractional boundary value problem

DOI10.1515/FCA-2017-0015zbMath1359.34008OpenAlexW2591469086MaRDI QIDQ520815

Rui A. C. Ferreira

Publication date: 6 April 2017

Published in: Fractional Calculus \ Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2017-0015

zbMATH Keywords

fractional derivativeseigenvaluesboundary value problemsLyapunov's inequality

Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Fractional ordinary differential equations (34A08)

Related Items (10)

A survey of useful inequalities in fractional calculus ⋮ Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving \(\psi\)-Caputo fractional derivative ⋮ Lyapunov-type inequalities for a fractional \(p\)-Laplacian system ⋮ Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative ⋮ Novel Lyapunov-type inequalities for sequential fractional boundary value problems ⋮ Lyapunov-type inequality and existence of solution for a nonlinear fractional differential equation with anti-periodic boundary conditions ⋮ Existence of solutions for anti-periodic fractional differential inclusions with \(\psi \)-Caputo fractional derivative ⋮ Lyapunov-type inequalities for sequential fractional boundary value problems using Hilfer's fractional derivative ⋮ Fractional de la Vallée Poussin inequalities ⋮ Green's functions, positive solutions, and a Lyapunov inequality for a Caputo fractional-derivative boundary value problem

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